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<p>A common situation is when <span class="process-math">\(F(s)\)</span> is a polynomial in <span class="process-math">\(s,\)</span> or more generally, a ratio of polynomials; then we use partial fractions to simplify the expressions. Given an expression for a Laplace transform of the form <span class="process-math">\(N/D\)</span> where numerator <span class="process-math">\(N\)</span> and denominator <span class="process-math">\(D\)</span> are both polynomials of <span class="process-math">\(s\text{,}\)</span> possibly in the form of factors, and <span class="process-math">\(N\)</span> may be constant; use partial fractions:</p>
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